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Finding the Third Proportional to 101,191.50 and 217,690.50

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Solution

The third proportional to 101,191.50 and 217,690.50 is: 468,311.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,191.50 : 217,690.50 = 217,690.50 : x
  2. Step 2: Convert to fraction form
    101,191.50/217,690.50 = 217,690.50/x
  3. Step 3: Cross multiply
    101,191.50x = 217,690.50 × 217,690.50
  4. Step 4: Simplify right side
    101,191.50x = 47,389,153,790.25
  5. Step 5: Solve for x
    x = 47,389,153,790.25/101,191.50
  6. Step 6: Final answer
    x = 468,311.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.